A particular professor never dismisses class early.

Let x denote the amount of time past the hour (in minutes) that elapses before the professor dismisses class.

Suppose that the density curve shown in the following figure is an appropriate model for the probability distribution of x:

1 10 0 10 Time

(minutes)

Density x

a. What is the probability that at most 5 minutes elapse before dismissal?

b. What is the probability that between 3 and 5 minutes elapse before dismissal?

c. What do you think the value of the mean is for this distribution?